Details

Time bar (total: 20.1s)

sample106.0ms

Algorithm
intervals
Results
70.0ms303×body80valid

simplify1.2s

Counts
1 → 1
Iterations
IterNodes
done2014
52014
41476
3358
294
132
015

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.6b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 a) (/ 1 b))
0.1b
(/ (/ PI (+ a b)) (* 2 (- b a)))
0.2b
(/ PI (+ a b))
8.6b
(* (/ (/ PI (+ a b)) (* 2 (- b a))) (- (/ 1 a) (/ 1 b)))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
120×times-frac
101×*-un-lft-identity
93×add-sqr-sqrt
43×add-cube-cbrt
36×add-cbrt-cube add-exp-log
24×associate-*l*
21×associate-/l*
19×associate-*r*
18×difference-of-squares
14×div-inv distribute-lft-out--
13×cbrt-undiv div-exp distribute-lft-out
12×associate-/r/
9×prod-exp cbrt-unprod
7×associate-*r/
6×pow1 add-log-exp
5×associate-/r* flip3-- flip--
4×flip3-+ flip-+ insert-posit16
3×frac-times sub-neg frac-sub
2×distribute-rgt-in clear-num frac-2neg distribute-lft-in
1×diff-log pow-prod-down associate-*l/ *-commutative unswap-sqr associate-/l/
Counts
4 → 198
Calls
4 calls:
11.0ms
(- (/ 1 a) (/ 1 b))
22.0ms
(/ (/ PI (+ a b)) (* 2 (- b a)))
9.0ms
(/ PI (+ a b))
101.0ms
(* (/ (/ PI (+ a b)) (* 2 (- b a))) (- (/ 1 a) (/ 1 b)))

series294.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(- (/ 1 a) (/ 1 b))
98.0ms
(/ (/ PI (+ a b)) (* 2 (- b a)))
58.0ms
(/ PI (+ a b))
113.0ms
(* (/ (/ PI (+ a b)) (* 2 (- b a))) (- (/ 1 a) (/ 1 b)))

simplify1.2s

Counts
210 → 210
Iterations
IterNodes
done2002
22002
1889
0288

prune2.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 a) (/ 1 b))
0.1b
(/ (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a)))
0.2b
(/ PI (+ a b))
0.3b
(* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
72×*-un-lft-identity
62×times-frac
32×add-cbrt-cube add-exp-log
26×add-cube-cbrt
19×associate-*r*
18×associate-*l* difference-of-squares
14×distribute-lft-out--
11×div-inv
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
8×associate-*r/
7×distribute-lft-out associate-/l/
6×frac-times pow1 flip3-- associate-/r/ flip-- add-log-exp
5×associate-/r* frac-sub
4×insert-posit16 associate-/l*
3×sub-neg
2×distribute-rgt-in clear-num frac-2neg distribute-lft-in flip3-+ associate-*l/ flip-+ unswap-sqr
1×diff-log pow-prod-down *-commutative
Counts
4 → 163
Calls
4 calls:
25.0ms
(- (/ 1 a) (/ 1 b))
42.0ms
(/ (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a)))
8.0ms
(/ PI (+ a b))
69.0ms
(* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))

series315.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(- (/ 1 a) (/ 1 b))
129.0ms
(/ (* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a)))
53.0ms
(/ PI (+ a b))
109.0ms
(* (/ PI (+ a b)) (- (/ 1 a) (/ 1 b)))

simplify1.1s

Counts
175 → 175
Iterations
IterNodes
done2002
22002
1790
0247

prune1.8s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 a) (/ 1 b))
0.2b
(* (/ (/ PI (+ a b)) 2) (/ (- (/ 1 a) (/ 1 b)) (- b a)))
0.2b
(/ (- (/ 1 a) (/ 1 b)) (- b a))
0.2b
(/ PI (+ a b))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
518×add-sqr-sqrt
517×times-frac
427×*-un-lft-identity
147×difference-of-squares
131×add-cube-cbrt
123×distribute-lft-out--
101×associate-*r*
58×associate-*l*
55×div-inv
29×add-cbrt-cube add-exp-log
22×associate-/l*
13×distribute-lft-out
12×associate-/r/
11×cbrt-undiv div-exp
9×associate-/r*
6×pow1 prod-exp cbrt-unprod add-log-exp unswap-sqr
4×flip3-+ flip3-- flip-+ insert-posit16 flip--
3×associate-/l/
2×clear-num frac-2neg frac-sub
1×frac-times sub-neg diff-log div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 392
Calls
4 calls:
11.0ms
(- (/ 1 a) (/ 1 b))
93.0ms
(* (/ (/ PI (+ a b)) 2) (/ (- (/ 1 a) (/ 1 b)) (- b a)))
48.0ms
(/ (- (/ 1 a) (/ 1 b)) (- b a))
8.0ms
(/ PI (+ a b))

series250.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(- (/ 1 a) (/ 1 b))
121.0ms
(* (/ (/ PI (+ a b)) 2) (/ (- (/ 1 a) (/ 1 b)) (- b a)))
52.0ms
(/ (- (/ 1 a) (/ 1 b)) (- b a))
58.0ms
(/ PI (+ a b))

simplify1.2s

Counts
404 → 404
Iterations
IterNodes
done2003
22003
11551
0492

prune4.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* 2 (- b a)) (* a b))
0.2b
(/ PI (+ b a))
0.3b
(* (- b a) (/ PI (+ b a)))
0.4b
(/ (* (- b a) (/ PI (+ b a))) (* (* 2 (- b a)) (* a b)))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
92×add-cbrt-cube add-exp-log
44×prod-exp cbrt-unprod
38×*-un-lft-identity
29×add-sqr-sqrt
26×times-frac
22×cbrt-undiv div-exp add-cube-cbrt
19×associate-*r*
18×pow1
9×pow-prod-down
8×associate-*l/
7×distribute-lft-out
6×flip3-- associate-*l* associate-*r/ associate-/r/ flip--
5×associate-/r* associate-/l/
4×frac-times insert-posit16 associate-/l* add-log-exp
3×div-inv
2×clear-num frac-2neg flip3-+ *-commutative flip-+ unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
4 → 154
Calls
4 calls:
39.0ms
(* (* 2 (- b a)) (* a b))
7.0ms
(/ PI (+ b a))
26.0ms
(* (- b a) (/ PI (+ b a)))
64.0ms
(/ (* (- b a) (/ PI (+ b a))) (* (* 2 (- b a)) (* a b)))

series316.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (* 2 (- b a)) (* a b))
57.0ms
(/ PI (+ b a))
107.0ms
(* (- b a) (/ PI (+ b a)))
82.0ms
(/ (* (- b a) (/ PI (+ b a))) (* (* 2 (- b a)) (* a b)))

simplify1.1s

Counts
166 → 166
Iterations
IterNodes
done2003
22003
1674
0218

prune1.6s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes130.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done19
119
014

end0.0ms

sample2.6s

Algorithm
intervals
Results
2.4s9516×body80valid